Evaluate
6x^{3}+21x^{2}+29x+12
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6x^{3}+21x^{2}+29x+12
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6x\left(x^{2}+4x+4\right)-\left(x-3\right)\left(3x+4\right)
Multiply 2 and 3 to get 6.
6x^{3}+24x^{2}+24x-\left(x-3\right)\left(3x+4\right)
Use the distributive property to multiply 6x by x^{2}+4x+4.
6x^{3}+24x^{2}+24x-\left(3x^{2}-5x-12\right)
Use the distributive property to multiply x-3 by 3x+4 and combine like terms.
6x^{3}+24x^{2}+24x-3x^{2}+5x+12
To find the opposite of 3x^{2}-5x-12, find the opposite of each term.
6x^{3}+21x^{2}+24x+5x+12
Combine 24x^{2} and -3x^{2} to get 21x^{2}.
6x^{3}+21x^{2}+29x+12
Combine 24x and 5x to get 29x.
6x\left(x^{2}+4x+4\right)-\left(x-3\right)\left(3x+4\right)
Multiply 2 and 3 to get 6.
6x^{3}+24x^{2}+24x-\left(x-3\right)\left(3x+4\right)
Use the distributive property to multiply 6x by x^{2}+4x+4.
6x^{3}+24x^{2}+24x-\left(3x^{2}-5x-12\right)
Use the distributive property to multiply x-3 by 3x+4 and combine like terms.
6x^{3}+24x^{2}+24x-3x^{2}+5x+12
To find the opposite of 3x^{2}-5x-12, find the opposite of each term.
6x^{3}+21x^{2}+24x+5x+12
Combine 24x^{2} and -3x^{2} to get 21x^{2}.
6x^{3}+21x^{2}+29x+12
Combine 24x and 5x to get 29x.
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Limits
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